details

property	value
status	complete
benchmark	PEANO_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	1.94067 seconds
cpu usage	1.95493
user time	1.80712
system time	0.147809
max virtual memory	713548.0
max residence set size	18852.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,V1:S,V2:S) -> a__U12(a__isNatKind(V1:S),V1:S,V2:S) a__U11(X1:S,X2:S,X3:S) -> U11(X1:S,X2:S,X3:S) a__U12(tt,V1:S,V2:S) -> a__U13(a__isNatKind(V2:S),V1:S,V2:S) a__U12(X1:S,X2:S,X3:S) -> U12(X1:S,X2:S,X3:S) a__U13(tt,V1:S,V2:S) -> a__U14(a__isNatKind(V2:S),V1:S,V2:S) a__U13(X1:S,X2:S,X3:S) -> U13(X1:S,X2:S,X3:S) a__U14(tt,V1:S,V2:S) -> a__U15(a__isNat(V1:S),V2:S) a__U14(X1:S,X2:S,X3:S) -> U14(X1:S,X2:S,X3:S) a__U15(tt,V2:S) -> a__U16(a__isNat(V2:S)) a__U15(X1:S,X2:S) -> U15(X1:S,X2:S) a__U16(tt) -> tt a__U16(X:S) -> U16(X:S) a__U21(tt,V1:S) -> a__U22(a__isNatKind(V1:S),V1:S) a__U21(X1:S,X2:S) -> U21(X1:S,X2:S) a__U22(tt,V1:S) -> a__U23(a__isNat(V1:S)) a__U22(X1:S,X2:S) -> U22(X1:S,X2:S) a__U23(tt) -> tt a__U23(X:S) -> U23(X:S) a__U31(tt,V2:S) -> a__U32(a__isNatKind(V2:S)) a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) a__U32(tt) -> tt a__U32(X:S) -> U32(X:S) a__U41(tt) -> tt a__U41(X:S) -> U41(X:S) a__U51(tt,N:S) -> a__U52(a__isNatKind(N:S),N:S) a__U51(X1:S,X2:S) -> U51(X1:S,X2:S) a__U52(tt,N:S) -> mark(N:S) a__U52(X1:S,X2:S) -> U52(X1:S,X2:S) a__U61(tt,M:S,N:S) -> a__U62(a__isNatKind(M:S),M:S,N:S) a__U61(X1:S,X2:S,X3:S) -> U61(X1:S,X2:S,X3:S) a__U62(tt,M:S,N:S) -> a__U63(a__isNat(N:S),M:S,N:S) a__U62(X1:S,X2:S,X3:S) -> U62(X1:S,X2:S,X3:S) a__U63(tt,M:S,N:S) -> a__U64(a__isNatKind(N:S),M:S,N:S) a__U63(X1:S,X2:S,X3:S) -> U63(X1:S,X2:S,X3:S) a__U64(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U64(X1:S,X2:S,X3:S) -> U64(X1:S,X2:S,X3:S) a__isNat(0) -> tt a__isNat(plus(V1:S,V2:S)) -> a__U11(a__isNatKind(V1:S),V1:S,V2:S) a__isNat(s(V1:S)) -> a__U21(a__isNatKind(V1:S),V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatKind(0) -> tt a__isNatKind(plus(V1:S,V2:S)) -> a__U31(a__isNatKind(V1:S),V2:S) a__isNatKind(s(V1:S)) -> a__U41(a__isNatKind(V1:S)) a__isNatKind(X:S) -> isNatKind(X:S) a__plus(N:S,0) -> a__U51(a__isNat(N:S),N:S) a__plus(N:S,s(M:S)) -> a__U61(a__isNat(M:S),M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S,X3:S)) -> a__U11(mark(X1:S),X2:S,X3:S) mark(U12(X1:S,X2:S,X3:S)) -> a__U12(mark(X1:S),X2:S,X3:S) mark(U13(X1:S,X2:S,X3:S)) -> a__U13(mark(X1:S),X2:S,X3:S) mark(U14(X1:S,X2:S,X3:S)) -> a__U14(mark(X1:S),X2:S,X3:S) mark(U15(X1:S,X2:S)) -> a__U15(mark(X1:S),X2:S) mark(U16(X:S)) -> a__U16(mark(X:S)) mark(U21(X1:S,X2:S)) -> a__U21(mark(X1:S),X2:S) mark(U22(X1:S,X2:S)) -> a__U22(mark(X1:S),X2:S) mark(U23(X:S)) -> a__U23(mark(X:S)) mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) mark(U32(X:S)) -> a__U32(mark(X:S)) mark(U41(X:S)) -> a__U41(mark(X:S)) mark(U51(X1:S,X2:S)) -> a__U51(mark(X1:S),X2:S) mark(U52(X1:S,X2:S)) -> a__U52(mark(X1:S),X2:S) mark(U61(X1:S,X2:S,X3:S)) -> a__U61(mark(X1:S),X2:S,X3:S) mark(U62(X1:S,X2:S,X3:S)) -> a__U62(mark(X1:S),X2:S,X3:S) mark(U63(X1:S,X2:S,X3:S)) -> a__U63(mark(X1:S),X2:S,X3:S) mark(U64(X1:S,X2:S,X3:S)) -> a__U64(mark(X1:S),X2:S,X3:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatKind(X:S)) -> a__isNatKind(X:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V1:S,V2:S) -> A__U12(a__isNatKind(V1:S),V1:S,V2:S) A__U11(tt,V1:S,V2:S) -> A__ISNATKIND(V1:S) A__U12(tt,V1:S,V2:S) -> A__U13(a__isNatKind(V2:S),V1:S,V2:S) A__U12(tt,V1:S,V2:S) -> A__ISNATKIND(V2:S) A__U13(tt,V1:S,V2:S) -> A__U14(a__isNatKind(V2:S),V1:S,V2:S) A__U13(tt,V1:S,V2:S) -> A__ISNATKIND(V2:S) A__U14(tt,V1:S,V2:S) -> A__U15(a__isNat(V1:S),V2:S) A__U14(tt,V1:S,V2:S) -> A__ISNAT(V1:S) A__U15(tt,V2:S) -> A__U16(a__isNat(V2:S)) A__U15(tt,V2:S) -> A__ISNAT(V2:S) A__U21(tt,V1:S) -> A__U22(a__isNatKind(V1:S),V1:S) A__U21(tt,V1:S) -> A__ISNATKIND(V1:S) A__U22(tt,V1:S) -> A__U23(a__isNat(V1:S)) A__U22(tt,V1:S) -> A__ISNAT(V1:S) A__U31(tt,V2:S) -> A__U32(a__isNatKind(V2:S)) A__U31(tt,V2:S) -> A__ISNATKIND(V2:S) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Innermost